What is the value of cos(arcsin(21/29)) ?

The value of cos(arcsin(21/29)) is 20/29

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cos(arcsin(21/29))

cos (arcsin (\frac{21}{29}))

\frac{20}{29}

Decimal Notation

0.68965 \dots

Solution steps

cos (arcsin (\frac{21}{29}))

Rewrite using trig identities:

cos (arcsin (\frac{21}{29})) = 1 - (\frac{21}{29})^{2}

Use the following identity:

cos (arcsin (x)) = 1 - x^{2}

= 1 - (\frac{21}{29})^{2}

= 1 - (\frac{21}{29})^{2}

Simplify

= \frac{20}{29}

3 (- 7 cos (7) + sin (7) + cos (1) - sin (1))

arccos (- π)

sec (\frac{15}{12})

\frac{tan ( 8 2 ^{\circ} ) + tan ( 3 8 ^{\circ} )}{1 - tan ( 8 2 ^{\circ} ) tan ( 3 8 ^{\circ} )}

2 (cos (4 5^{\circ}))^{2} + 3 csc (3 7^{\circ})

What is the value of cos(arcsin(21/29)) ?
The value of cos(arcsin(21/29)) is 20/29